What three factors were used to create this product game board?

A company surveyed 2400 men where 1248 of the men identified themselves as the primary grocery shopper in their household. a) E

polet [3.4K]

Answer:

a) With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

c) $\alpha =1-0.98=0.02$

Step-by-step explanation:

If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:

$p'-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }\leq p\leq p'+z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }$

Where p' is the proportion of the sample, n is the size of the sample, p is the proportion of the population and $z_{\alpha/2}$ is the z-value that let a probability of $\alpha/2$ on the right tail.

Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, $\alpha$ by 0.02 and $z_{\alpha/2}$ by 2.33

Where p' and $\alpha$ are calculated as:

$p' = \frac{1248}{2400}=0.52\\\alpha =1-0.98=0.02$

So, replacing the values we get:

$0.52-2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\leq p\leq 0.52+2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\\0.52-0.0238\leq p\leq 0.52+0.0238\\0.4962\leq p\leq 0.5438$

With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

Finally, the level of significance is the probability to reject the null hypothesis given that the null hypothesis is true. It is also the complement of the level of confidence. So, if we create a 98% confidence interval, the level of confidence $1-\alpha$ is equal to 98%

It means the the level of significance $\alpha$ is:

$\alpha =1-0.98=0.02$

4 0

2 years ago

17. Subtract the quotient of 18 and 2 from the sum of 22 and 9.

Effectus [21]

Answer:

B. 22

Step-by-step explanation:

Quotient of 18 and 2 is 9, and just take the 9 out of the next series and you will be left with 22.

4 0

3 years ago

Read 2 more answers

Solve each equation. Show all steps and work. your answers to four decimal places.

Virty [35]

Answer:

This equation is incorrect. The equation simplifies to -3=4 which is incorrect.

Step-by-step explanation:

3(-3)=-9. 3(2)=6

-9+6=-3

-3=4 FALSE

5 0

3 years ago

A barrel was 2/3 full of water. After 60 liters were used from the barrel, it was 5/12 full. how much water does the barrel hold

Andrews [41]

Answer: 240 liters

Step-by-step explanation: This means, we start off with (2/3)x liters of water. Then we subtract off 60 of them to get to 5/12 full, meaning we have (5/12)x liters left.

7 0

2 years ago

Jasmine thinks that the images are the same because they are both isosceles triangles. Do you agree with Jasmine why or why not?

lorasvet [3.4K]

Answer:

No, images are not same as their dimensions are different although two sides in each of the two triangles are equal.

Step-by-step explanation:

Given: images of two isosceles triangles.

To check: if images are the same

Solution:

A triangle is a polygon made up of three sides.

An isosceles triangle is a triangle in which two sides are equal. Also, in an isosceles triangle, angles opposite to equal sides are equal.

The given images of two isosceles triangles A and B are not the same as their dimensions are different although two sides in each of the two triangles are equal.

6 0

3 years ago